Answer:
ii. 55 degrees.
Step-by-step explanation:
(ii)
Consider the quadrilateral ABCD.
Angle n = 180 - 96 = 84 degrees ( opposite angles of a cyclic quadrilateral are supplementary).
Consider triangle ABC: the 3 angles are supplementary, so
m < j = 180 - 84 - 41
= 55 degrees.
If the diameter is 8 centimeters, the radius is 4. We can use the formula
and plug in r=4 and h=13 to get
, so
.
4x-7x= 13
⇒ -3x= 13
⇒ x= 13/(-3)
⇒ x= -13/3
The final answer is x= -13/3~
Answer:
-3+2sqrt7
-3-2sqrt7
Step-by-step explanation:
x^2+6x-9=10
x^2+6x-9-10=0
x^2+6x-19=0
ax^2+bx+c=0
a=1 b=6 c=-19
As cannot be solved by completing square we will use quadratic equation
x= (-b+sqrt(b^2-4ac))/2a and x= (-b-sqrt(b^2-4ac))/2a
x= (-6+sqrt(6^2-4*-19))/2 and x= (-6-sqrt(6^2-4*-19))/2
x=(-6+sqrt(36+76))/2 and x=(-6-sqrt(36+76))/2
x=(-6+4sqrt7)/2 and x=(-6-4sqrt7)/2
x=(-3+2sqrt7) and x=(-3-2sqrt7)
x=2.29 and x= -8.29
